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Finding the Third Proportional to 9,858 and 21,295

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Solution

The third proportional to 9,858 and 21,295 is: 46,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858 : 21,295 = 21,295 : x
  2. Step 2: Convert to fraction form
    9,858/21,295 = 21,295/x
  3. Step 3: Cross multiply
    9,858x = 21,295 × 21,295
  4. Step 4: Simplify right side
    9,858x = 453,477,025
  5. Step 5: Solve for x
    x = 453,477,025/9,858
  6. Step 6: Final answer
    x = 46,000.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.